A quantitative Khintchine-Groshev type theorem over a field of formal series

2004/01/30 by M. M. Dodson, Simon Kristensen, S. Kristensen +5 · 1 citation
Mathematics · #11J61 #11J83 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras #math.NT #msc:11J61 #msc:11J83

paper · pdf · doi:10.48550/arxiv.math/0401438

Revised version

openalex publication_date 2004/01/30 · arxiv created 2004/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An asymptotic formula which holds almost everywhere is obtained for the number of solutions to the Diophantine inequalities |qA-p|1) over the field of formal Laurent series with coefficients from a finite field, and p and q are vectors of polynomials over the same finite field.

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